The Elements of Euclid : viz. the first six books, together with the eleventh and twelfth : the errors, by which Theon, or others, have long ago vitiated these books, are corrected, and some of Euclid's demonstrations are restored : also, the book of Euclid's Data, in like manner corrected (1806)
Euclid, Simson, Robert, 1687-1768, Euclid. Elements. Book 11-12. English. 1806, Euclid. Data. English. 1806, Simson, Robert, 1687-1768. Notes, critical and geometrical. 1806, Simson, Robert, 1687-1768. Elements of plane and spherical trigonometry. 1806 · Philadelphia : Published by Mathew Cary, and sold by J. Conrad & Co., S.F. Bradford, Birch & Small, and Samuel Etheridge, printed by T. & G. Palmer ... · leaf 87
the samereason, the angle FEC is double of the angle EAC: therefore the whole angle BEC is double of thewhole angle BAC. Again, Let E the centre of the A circle be without the angle BDC, andjoin DE, and produce it to G. Itmay be demonstrated, as in the firstcase, that the angle GEC is doubleof the… … PROP. XXL THEOR. THE angles in the same segment of a circle are Sec nequal to one another. Let ABCD be a circle, and BAD,BED angles in the same segmentBAED: the angles BAD, BED areequal to one another. Take F the centre of the circleABCD: and, first, let the segmentBAED be greater than a…
Euclid's Elements · Mathematics, Greek · Geometry
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